Shelling the coset poset

• Autores: Russ Woodroofe
• Localización: Journal of Combinatorial Theory, Series A, ISSN 1096-0899, Vol. 114, Nº. 4, 2007, págs. 733-746
• Idioma: inglés
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• Resumen

  • It is shown that the coset lattice of a finite group has shellable order complex if and only if the group is complemented. Furthermore, the coset lattice is shown to have a Cohen¿Macaulay order complex in exactly the same conditions. The group theoretical tools used are relatively elementary, and avoid the classification of finite simple groups and of minimal finite simple groups.